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Extensions 1→N→G→Q→1 with N=C8⋊9D4 and Q=C2

Direct product G=N×Q with N=C8⋊9D4 and Q=C2
dρLabelID
C2×C8⋊9D464C2xC8:9D4128,1659

Semidirect products G=N:Q with N=C8⋊9D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊9D4⋊1C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:1C2128,1996
C8⋊9D4⋊2C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:2C2128,1997
C8⋊9D4⋊3C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:3C2128,1998
C8⋊9D4⋊4C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:4C2128,1999
C8⋊9D4⋊5C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:5C2128,2000
C8⋊9D4⋊6C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:6C2128,2001
C8⋊9D4⋊7C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:7C2128,2002
C8⋊9D4⋊8C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:8C2128,2003
C8⋊9D4⋊9C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:9C2128,2038
C8⋊9D4⋊10C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:10C2128,2039
C8⋊9D4⋊11C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:11C2128,2040
C8⋊9D4⋊12C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:12C2128,2041
C8⋊9D4⋊13C2 = C42.45C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:13C2128,2042
C8⋊9D4⋊14C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:14C2128,2043
C8⋊9D4⋊15C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:15C2128,2045
C8⋊9D4⋊16C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:16C2128,2046
C8⋊9D4⋊17C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:17C2128,2047
C8⋊9D4⋊18C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:18C2128,2048
C8⋊9D4⋊19C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:19C2128,2049
C8⋊9D4⋊20C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:20C2128,2050
C8⋊9D4⋊21C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:21C2128,2051
C8⋊9D4⋊22C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:22C2128,2052
C8⋊9D4⋊23C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:23C2128,2053
C8⋊9D4⋊24C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:24C2128,2075
C8⋊9D4⋊25C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:25C2128,2077
C8⋊9D4⋊26C2 = C42.60C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:26C2128,2078
C8⋊9D4⋊27C2 = C42.61C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:27C2128,2079
C8⋊9D4⋊28C2 = C42.62C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:28C2128,2080
C8⋊9D4⋊29C2 = C42.64C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:29C2128,2082
C8⋊9D4⋊30C2 = C42.265C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:30C2128,1662
C8⋊9D4⋊31C2 = C42.266C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:31C2128,1664
C8⋊9D4⋊32C2 = M4(2)⋊22D4φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:32C2128,1665
C8⋊9D4⋊33C2 = D4×M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:33C2128,1666
C8⋊9D4⋊34C2 = M4(2)⋊23D4φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:34C2128,1667
C8⋊9D4⋊35C2 = C42.292C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:35C2128,1699
C8⋊9D4⋊36C2 = C42.293C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:36C2128,1700
C8⋊9D4⋊37C2 = C42.294C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:37C2128,1701
C8⋊9D4⋊38C2 = D4⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:38C2128,1702
C8⋊9D4⋊39C2 = C23⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:39C2128,1705
C8⋊9D4⋊40C2 = D4⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:40C2128,1706
C8⋊9D4⋊41C2 = C42.297C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:41C2128,1708
C8⋊9D4⋊42C2 = C42.298C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:42C2128,1709
C8⋊9D4⋊43C2 = C42.299C23φ: C2/C1 → C2 ⊆ Out C8⋊9D432C8:9D4:43C2128,1710
C8⋊9D4⋊44C2 = C42.300C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:44C2128,1712
C8⋊9D4⋊45C2 = C42.301C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:45C2128,1713
C8⋊9D4⋊46C2 = C42.698C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:46C2128,1721
C8⋊9D4⋊47C2 = D4⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:47C2128,1722
C8⋊9D4⋊48C2 = C42.307C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:48C2128,1724
C8⋊9D4⋊49C2 = C42.308C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:49C2128,1725
C8⋊9D4⋊50C2 = C42.309C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:50C2128,1726
C8⋊9D4⋊51C2 = C42.310C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4:51C2128,1727
C8⋊9D4⋊52C2 = C42.264C23φ: trivial image32C8:9D4:52C2128,1661
C8⋊9D4⋊53C2 = C42.290C23φ: trivial image64C8:9D4:53C2128,1697
C8⋊9D4⋊54C2 = C42.291C23φ: trivial image64C8:9D4:54C2128,1698

Non-split extensions G=N.Q with N=C8⋊9D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊9D4.1C2 = C42.47C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4.1C2128,2044
C8⋊9D4.2C2 = C42.58C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4.2C2128,2076
C8⋊9D4.3C2 = C42.63C23φ: C2/C1 → C2 ⊆ Out C8⋊9D464C8:9D4.3C2128,2081

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